饱和地基任意形状衬砌内部均布突加荷载作用下的动力响应

DYNAMIC RESPONSE OF LINING IN SATURATED FOUNDATION SUBJECTED TO SUDDEN INTERNAL UNIFORM LOADING

地下衬砌结构经常会受到内部动荷载的作用,内荷载引起的衬砌结构的动应力集中备受关注.论文利用波函数展开法和Laplace变换,推导了饱和土中突加荷载作用下衬砌结构和土体的位移、应力、孔压表达式.应用复变函数和保角变换,将任意形状边界映射为圆形边界,利用饱和土和衬砌结构的连续条件和边界条件,求得了任意形状衬砌结构的动力响应解答.利用Laplace反变换的数值积分方法,给出了突加荷载作用下椭圆形和圆形衬砌结构的动力响应.

Buried lined tunnels are often subject .to internal dynamic loading,such as blast loading and impact loading. The dynamic stress concentration of lining structure due to various dynamic sources is a special concern in practical engineering. Based on Blot＇s dynamic theory, the expressions of the displacements,stresses and pore pressures of saturated soil and those of the displacements and stresses of lining have been derived with the method of the wave function expansion and Laplace transform. Employing the complex variable functions and conformal mapping method, the arbitrary boundary is mapped circular boundary and the solution on dynamic response of lining with arbitrary shapes has been obtained based on the inner boundary condition of the lining and the continuity conditions between the soil and the lining. With the numerical integration of inverse Laplace transforms ,the numerical solution on the dynamic response of an elliptic lining and a cylindrical one is presented respectively.